Yes: Shih Tzu sheds less than some of the other breeds. They are often a great choice for homes with allergy sufferers. Although they aren't completely free from shedding, they do lose far less hair than many other breeds.
No: Grooming is a must. This includes regular brushing and bathing at home, as well as haircuts. This can get to be quite expensive, so you need to make sure that you are ready to spend time and money with grooming your pet.
Yes: As with any pet, you will need to bring your Shih Tzu to the vet regularly for immunizations and checkups. You may even have emergencies that would require surgery or other costly procedures.